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1142403264 = 26351729149
BaseRepresentation
bin100010000010111…
…1011000011000000
32221121122002200000
41010011323003000
54314423401024
6305205400000
740211160522
oct10405730300
92847562600
101142403264
11536947532
1227a709000
131528a9382
14aba19a12
156a45ecc9
hex4417b0c0

1142403264 has 336 divisors, whose sum is σ = 3744468000. Its totient is φ = 343719936.

The previous prime is 1142403263. The next prime is 1142403271. The reversal of 1142403264 is 4623042411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1142403263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7667062 + ... + 7667210.

It is an arithmetic number, because the mean of its divisors is an integer number (11144250).

Almost surely, 21142403264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142403264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872234000).

1142403264 is an abundant number, since it is smaller than the sum of its proper divisors (2602064736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1142403264 is a wasteful number, since it uses less digits than its factorization.

1142403264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1142403264 is about 33799.4565636787. The cubic root of 1142403264 is about 1045.3774920318.

Adding to 1142403264 its reverse (4623042411), we get a palindrome (5765445675).

The spelling of 1142403264 in words is "one billion, one hundred forty-two million, four hundred three thousand, two hundred sixty-four".